Spin-zero pole dominance in the weak and electromagnetic interactions of the K-meson

Summary

The assumption of π, η and σ dominance of the weak and electromagnetic decays of the K-meson is examined using the hard-meson current algebra amplitudes for the strong-interaction factors. The K → 3π decay spectrum, the KL0 → 2γ decay and the KL0-KS0 mass difference are calculated and compared with experiment.

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As is well known, agreement with decay spectra can only be achieved by suppressing the second class of diagrams. See, for example,M. Jacob, C. H. Llewellyn Smith andS. Pokorski:Nuovo Cimento,63 A, 574 (1969).CrossRefADSMATHGoogle Scholar

A detailed comparison of the hard-meson ππ predictions with experiment can be found in the survey byR. Arnowitt:Proceedings of the Conference on ππ and Kπ Interactions (Argonne, Ill., 1969), p. 619.Google Scholar

Note, however, that the current algebra constraints forbid (4) λ1=0, so no singularity can occur in eq. (12).CrossRefADSGoogle Scholar

(22).

Recently,R. Rockmore:Phys. Rev. D,2, 2693 (1970) has calculatedΔs and obtained a result that is about twice as large as the text value. This is due mainly to the fact that a different model of ππ interactions has been used. In Rockmore’s model, it is not possible to fit a down-up or up-up phase-shift solution (as required by the present π+π− scattering data) but only an up-down solution.CrossRefADSGoogle Scholar